Two sources of sound placed close to each oth | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given equations are $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$.Comparing with $y = A \sin(2\pi 
u t)$,we get:For the first source: $A_

Vedclass · Accepted Answer

$4$ beats per second with intensity ratio $81 : 1$ between waxing and waning.

Vedclass · Answer

(D) Given equations are $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$.Comparing with $y = A \sin(2\pi 
u t)$,we get:For the first source: $A_1 = 4$ and $2\pi 
u_1 = 600\pi \implies 
u_1 = 300 	ext{ Hz}$.For the second source: $A_2 = 5$ and $2\pi 
u_2 = 608\pi \implies 
u_2 = 304 	ext{ Hz}$.The number of beats heard per second is the difference in frequencies: $	ext{Beat frequency} = 
u_2 - 
u_1 = 304 - 300 = 4 	ext{ beats/sec}$.The ratio of maximum intensity to minimum intensity is given by $\frac{I_{\max}}{I_{\min}} = \frac{(A_1 + A_2)^2}{(A_1 - A_2)^2}$.Substituting the values: $\frac{I_{\max}}{I_{\min}} = \frac{(4 + 5)^2}{(4 - 5)^2} = \frac{9^2}{(-1)^2} = \frac{81}{1}$.Thus,the observer hears $4$ beats per second with an intensity ratio of $81 : 1$.

Two sources of sound placed close to each other are emitting progressive waves given by $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$. An observer located near these two sources of sound will hear:

Similar Questions

What should be the frequency of beats so that they can be heard clearly in the case of sound?

For the formation of beats,two sound notes must have:

The fundamental frequency '$n$' of a tuning fork is $288$ Hz. It will not resonate with which of the following frequencies (in $Hz$)?

When a guitar string is sounded with a $440\, Hz$ tuning fork,a beat frequency of $5\, Hz$ is heard. If the experiment is repeated with a tuning fork of $437\, Hz$,the beat frequency is $8\, Hz$. The string frequency $(Hz)$ is

$P$ and $Q$ are two wires whose fundamental frequencies are $256 \ Hz$ and $382 \ Hz$ respectively. How many beats per second will be heard if the third harmonic of $P$ and the second harmonic of $Q$ are sounded together?

Vedclass Test Series

Exam Paper Generator

Online Exam Module